I have a keyboard that has a little switch on the back, but I never figured out what it did. I tried all the modes too. It’s an old keyboard, the kind that uses the MIDI plug so it’s likely some obsolete function
‘mode f’ probably switches some key functions on your keyboard, this is also normal on for example laptops, where the number of keys are limited. On my laptop I can press and FN (which is like your mode f-button I presume, exept it’s not a toggle button) to make the UP-button increase the volume or the PGdn act as END etc.